1, basic mathematics: it is the core of mathematics, mainly studying the basic theories and methods of mathematics, including algebra, geometry, topology, analysis and other fields. Basic mathematics requires a solid mathematical foundation and strong logical thinking, and usually requires a long period of academic training.

2. Applied mathematics: it is an interdisciplinary subject between mathematics and other disciplines, mainly studying the application of mathematics in various fields, such as physics, engineering, economy and finance. Applied mathematics requires a solid mathematical foundation and knowledge in related fields, as well as strong ability to solve practical problems.

3. Computational Mathematics: Mainly studies the application of mathematics in computer science, including numerical calculation, algorithm design, data mining and other fields. Computational mathematics requires high mathematical literacy and computer technology level, as well as strong practical ability and innovative spirit.

4. Probability statistics: mainly study the mathematical methods of random phenomena and uncertain problems, including probability theory, statistics, risk assessment and other fields. Probability statistics requires a strong mathematical foundation and data processing ability, as well as good practice and application ability.

Factors that need to be considered when choosing a mathematics major;

1, interest and talent: consider whether you have a strong interest in mathematics. Mathematics is a subject that needs long-term investment and research. Without interest, it is difficult to maintain lasting motivation in learning and research. At the same time, we should also consider whether we have the talent to learn mathematics, such as logical thinking ability and abstract thinking ability.

2. Career planning: Choosing a major in mathematics means that the future career may be closely related to mathematics. Therefore, we should consider our own career planning, whether to pursue a career related to mathematics in the future, or whether to apply mathematics as a basic subject to other fields.

3. Discipline characteristics: Mathematics is a highly abstract and theoretical discipline. Choosing a math major needs to be prepared to face these challenges. At the same time, we should also understand the application of mathematics in different fields in order to better understand and apply mathematical knowledge.

4. Education requirements: Mathematics majors usually require high mathematical literacy and academic ability. Therefore, we should consider whether our education and ability can meet the requirements of mathematics major. At the same time, we should also understand the curriculum and training objectives of mathematics major in order to better plan our academic path.